NOC:Numerical Methods - Finite Difference Approach


Lecture 1 - Introduction to Numerical solutions


Lecture 2 - Numerical Solution of ODE


Lecture 3 - Numerical solution of PDE


Lecture 4 - Finite difference approximation


Lecture 5 - Polynomial fitting and one-sided approximation


Lecture 6 - Solution of parabolic equation


Lecture 7 - Implicit and C-N scheme for solving 1D parabolic equation


Lecture 8 - Stability analysis of Explicit scheme for solving parabolic equation


Lecture 9 - Stability of Crank-Nicoloson's scheme


Lecture 10 - Approximation of derivative boundary conditions


Lecture 11 - Solution of two-dimensional parabolic equation


Lecture 12 - Solution of 2D parabolic equation using ADI scheme


Lecture 13 - Solution of Elliptic Equation


Lecture 14 - Solution of Elliptic equation using SOR method


Lecture 15 - Solution of Elliptic equation using ADI scheme


Lecture 16 - Solution of Hyperbolic equation


Lecture 17 - Stability analysis for Hyperbolic equations


Lecture 18 - Characteristics of PDE


Lecture 19 - Lax-Wendroff's method


Lecture 20 - Wendroff's method